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Yıldırım, Handan; Kuruoğlu, Nuri

On the 3-parameter spatial motions in Lorentzian 3-space. (English) Zbl 1499.53039

Filomat 32, No. 4, 1183-1192 (2018).
Summary: In this paper, we obtain the formulas of the volume element and the volume of the region which is determined in the fixed space by any fixed point of the moving space under the 3-parameter spatial motions in Lorentzian 3-space \(L^3\). Moreover, taking into account these formulas, we give Holditch-Type Theorems and some corollaries in Lorentzian sense.

Cited in 1 Document

MSC:

53A17 Differential geometric aspects in kinematics
53B30 Local differential geometry of Lorentz metrics, indefinite metrics

Keywords:

3-parameter spatial motions; volume element; volume; Holditch-type theorems; Lorentzian 3-space
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References:

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